Thursday, 13 October 2016

thermodynamics - What is the meaning of following expression $C=frac{delta Q}{dT}$ mathematically?


Our professor raised the following question during our lecture in Statistical Physics (even so it's related to Thermodynamics):


Many text books (even Wikipedia) writes wrong expressions (from mathematical point of view) for Heat Capacity Coefficient, and the right way to wright it is as following: $$C=\frac{\delta Q}{dT}.$$ But as we see it is neither usual differential, nor a functional derivative, so the question what is this?


I couldn't find the answer in math books, and it is true that many text books writes it in very different ways mixing exact and inexact differentials, so anybody have a clue what is the right expression for c and why from mathematical point of view?




No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...